Answer:
See graph
+ 
= 9
(-3 , -1) is the center.
= 3 = radius
Step-by-step explanation:
center (h,k)
radius = r
<span>Answer: Where:
θ = confidence value
n = number of observations
μ = mean
Θ = standard deviation
... then your interval will be:
μ - θΘ/√n ≤ X ≤ μ - θΘ/√n
For some reason they want you to calculate the standard error, which is the Θ/√n section, and I mentioned the 1.96 value, so the above equation simplifies to: μ - 1.96SE ≤ X ≤ μ - 1.96SE</span>
Step-by-step explanation:
Given that:
[{5² × 6²}/{(30)⁴}]³
⇛[{5² × 6²}/{(5 × 6)⁴}]³
⇛[{5² × 6²}/{(5⁴ × 6⁴}]³ [∵(ab)ᵐ= aᵐbᵐ]
⇛[{5²/5⁴} × {6² × 6⁴}]³
⇛[5^(2-4) × 6^(2-4)]³ [∵aᵐ/aⁿ = aᵐ-ⁿ]
⇛[5^-2 × 6^-2]³ [∵aᵐbᵐ = (ab)ᵐ]
⇛[(5×6)^-2]³
⇛[30^-2]³
⇛[30]^-2×3 [∵(aᵐ)ⁿ = aᵐⁿ]
⇛30^-6. [∵(a^-ⁿ = 1/a^n]
⇛1/(30)⁶ ≈ 72 90 00 000 Ans.
Hope this helps!!
If you have any doubt, then you can ask me in the comments.
